Devin has a change jar that contain only half dollars and pennies. He has 93 coins which add up to a total of $23.96. How many o

Question

kozerog [31]

3 years ago

5

Devin has a change jar that contain only half dollars and pennies. He has 93 coins which add up to a total of $23.96. How many o

f each type of coin does he have?

Mathematics

2 answers:

Marianna [84] · Answer 1 · 2022-08-21T17:49:57+03:00

Marianna [84]3 years ago

8 0

Answer:

47 Half Coins

46 Pennies

Serga [27] · Answer 2 · 2022-08-21T19:19:31+03:00

Let h = half dollars (50¢ or .5)
let p = pennies (1¢ or .01)
0.5h + 0.01p = 23.96
h + p = 93
multiply top equation by (-100) to make coefficients of p opposite
-50h - p = -2396
h + p = 93
combine
-49h = -2303
simplify
h = 46
find p
46 + p = 93
subtract & simplify
p = 47

Devin has 47 pennies and 46 half dollars.